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Simplifying 4(x + 3) + -5x = 3(x + 1) + -7x Reorder the terms: 4(3 + x) + -5x = 3(x + 1) + -7x (3 * 4 + x * 4) + -5x = 3(x + 1) + -7x (12 + 4x) + -5x = 3(x + 1) + -7x Combine like terms: 4x + -5x = -1x 12 + -1x = 3(x + 1) + -7x Reorder the terms: 12 + -1x = 3(1 + x) + -7x 12 + -1x = (1 * 3 + x * 3) + -7x 12 + -1x = (3 + 3x) + -7x Combine like terms: 3x + -7x = -4x 12 + -1x = 3 + -4x Solving 12 + -1x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + -1x + 4x = 3 + -4x + 4x Combine like terms: -1x + 4x = 3x 12 + 3x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 3x = 3 + 0 12 + 3x = 3 Add '-12' to each side of the equation. 12 + -12 + 3x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 3 + -12 3x = 3 + -12 Combine like terms: 3 + -12 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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